Dual Descriptions of SO(10) SUSY Gauge Theories with Arbitrary Numbers of Spinors and Vectors

TL;DR

This paper constructs a new dual description for N=1 supersymmetric SO(10) gauge theories with arbitrary spinor and vector matter, expanding the landscape of known dualities and providing insights for grand unified theories.

Contribution

It introduces a novel dual for SO(10) SUSY gauge theories with arbitrary matter content, generalizing previous duals and avoiding deconfinement methods.

Findings

Derived a dual gauge group structure for the theory.

Validated the dual through consistency checks and RG flow analysis.

Discussed implications for GUT model building.

Abstract

We examine the low energy structure of N=1 supersymmetric SO(10) gauge theory with matter chiral superfields in N_Q spinor and N_f vector representations. We construct a dual to this model based upon an SU(N_f+2N_Q-7) x Sp(2N_Q-2) gauge group without utilizing deconfinement methods. This product theory generalizes all previously known Pouliot-type duals to SO(N_c) models with spinor and vector matter. It also yields large numbers of new dual pairs along various flat directions. The dual description of the SO(10) theory satisfies multiple consistency checks including an intricate renormalization group flow analysis which links it with Seiberg's duality transformations. We discuss its implications for building grand unified theories that contain all Standard Model fields as composite degrees of freedom.